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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 45 45,900 73.96% 2.84 : 1
total 136 62,064 100 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts AKs AKJ42 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ42 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT42 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ942 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ842 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ742 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ642 flush 4 0.01% 1 : 15515 99.96%
8 A5s AJ542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJ432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ42 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT42 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ942 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ842 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ742 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ642 flush 4 0.01% 1 : 15515 99.91%
16 K5s KJ542 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJ432 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT42 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ942 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ842 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ742 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QJ642 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QJ542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT942 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT842 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT742 flush 4 0.01% 1 : 15515 99.83%
28 T6s JT642 flush 4 0.01% 1 : 15515 99.83%
29 T5s JT542 flush 4 0.01% 1 : 15515 99.82%
30 T3s JT432 flush 4 0.01% 1 : 15515 99.81%
31 98s J9842 flush 4 0.01% 1 : 15515 99.81%
32 97s J9742 flush 4 0.01% 1 : 15515 99.80%
33 96s J9642 flush 4 0.01% 1 : 15515 99.79%
34 95s J9542 flush 4 0.01% 1 : 15515 99.79%
35 93s J9432 flush 4 0.01% 1 : 15515 99.78%
36 87s J8742 flush 4 0.01% 1 : 15515 99.77%
37 86s J8642 flush 4 0.01% 1 : 15515 99.77%
38 85s J8542 flush 4 0.01% 1 : 15515 99.76%
39 83s J8432 flush 4 0.01% 1 : 15515 99.76%
40 76s J7642 flush 4 0.01% 1 : 15515 99.75%
41 75s J7542 flush 4 0.01% 1 : 15515 99.74%
42 73s J7432 flush 4 0.01% 1 : 15515 99.74%
43 65s J6542 flush 4 0.01% 1 : 15515 99.73%
44 63s J6432 flush 4 0.01% 1 : 15515 99.72%
45 53s J5432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ42 three of a kind 64 0.10% 1 : 969 99.71%
47 44 J4442 three of a kind 64 0.10% 1 : 969 99.61%
48 22 J4222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J4 JJ442 two pairs 144 0.23% 1 : 430 99.40%
50 J2 JJ422 two pairs 144 0.23% 1 : 430 99.17%
51 42 J4422 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ42 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ42 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ42 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ42 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ42 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ42 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT42 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ942 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ842 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ742 one pair 384 0.62% 1 : 161 93.14%
62 J6 JJ642 one pair 384 0.62% 1 : 161 92.52%
63 J5 JJ542 one pair 384 0.62% 1 : 161 91.90%
64 J3 JJ432 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT42 one pair 384 0.62% 1 : 161 90.66%
66 99 J9942 one pair 384 0.62% 1 : 161 90.04%
67 88 J8842 one pair 384 0.62% 1 : 161 89.42%
68 77 J7742 one pair 384 0.62% 1 : 161 88.81%
69 66 J6642 one pair 384 0.62% 1 : 161 88.19%
70 55 J5542 one pair 384 0.62% 1 : 161 87.57%
71 A4 AJ442 one pair 384 0.62% 1 : 161 86.95%
72 K4 KJ442 one pair 384 0.62% 1 : 161 86.33%
73 Q4 QJ442 one pair 384 0.62% 1 : 161 85.71%
74 T4 JT442 one pair 384 0.62% 1 : 161 85.09%
75 94 J9442 one pair 384 0.62% 1 : 161 84.47%
76 84 J8442 one pair 384 0.62% 1 : 161 83.86%
77 74 J7442 one pair 384 0.62% 1 : 161 83.24%
78 64 J6442 one pair 384 0.62% 1 : 161 82.62%
79 54 J5442 one pair 384 0.62% 1 : 161 82.00%
80 43 J4432 one pair 384 0.62% 1 : 161 81.38%
81 33 J4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AJ422 one pair 384 0.62% 1 : 161 80.14%
83 K2 KJ422 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QJ422 one pair 384 0.62% 1 : 161 78.91%
85 T2 JT422 one pair 384 0.62% 1 : 161 78.29%
86 92 J9422 one pair 384 0.62% 1 : 161 77.67%
87 82 J8422 one pair 384 0.62% 1 : 161 77.05%
88 72 J7422 one pair 384 0.62% 1 : 161 76.43%
89 62 J6422 one pair 384 0.62% 1 : 161 75.81%
90 52 J5422 one pair 384 0.62% 1 : 161 75.19%
91 32 J4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ42 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ42 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT42 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ942 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ842 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ742 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ642 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AJ542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJ432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ42 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT42 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ942 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ842 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ742 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ642 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KJ542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT42 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ942 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ842 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ742 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QJ642 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QJ542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT942 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT842 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT742 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 JT642 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 JT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 JT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9842 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9742 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 J9642 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 J9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 J9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8742 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 J8642 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 J8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 J8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 J7642 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 J7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 J7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 J6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 J6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 53 J5432 high card 1,020 1.64% 1 : 59.8 1.64%